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Finding the Fourth Proportional to 116,195.84, 174,324 and 33,096.32

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Solution

The fourth proportional to 116,195.84, 174,324 and 33,096.32 is: 49,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,195.84 : 174,324 = 33,096.32 : x
  2. Step 2: Convert to fraction form
    116,195.84/174,324 = 33,096.32/x
  3. Step 3: Cross multiply
    116,195.84x = 174,324 × 33,096.32
  4. Step 4: Simplify right side
    116,195.84x = 5,769,482,887.68
  5. Step 5: Solve for x
    x = 5,769,482,887.68/116,195.84
  6. Step 6: Final answer
    x = 49,653.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.